

'''simple docstring'''

def  A_	(			snake_case   ,							snake_case			):
  SCREAMING_SNAKE_CASE:List[Any]       =       1  # To kept the Calculated Value
  # Since C(n, k) = C(n, n-k)
  if k > (n - k):
    SCREAMING_SNAKE_CASE:Optional[int]       =       n - k
  # Calculate C(n,k)
  for i in range(snake_case			):
    result *= n - i
    result //= i + 1
  return result





def  A_	(			snake_case			):
  return binomial_coefficient(2 * node_count   ,							snake_case			) // (node_count + 1)





def  A_	(			snake_case			):
  if n < 0:
    raise ValueError("factorial() not defined for negative values"			)
  SCREAMING_SNAKE_CASE:int       =       1
  for i in range(1   ,							n + 1			):
    result *= i
  return result





def  A_	(			snake_case			):
  return catalan_number(snake_case			) * factorial(snake_case			)


if __name__ == "__main__":
    A_							    =				int(input("Enter the number of nodes: ").strip() or 0)
    if node_count <= 0:
        raise ValueError("We need some nodes to work with.")
    print(
        f'''Given {node_count} nodes, there are {binary_tree_count(node_count)} '''
        f'''binary trees and {catalan_number(node_count)} binary search trees.'''
    )








def 							A__       (    lowerCamelCase = 4_00_00_00    )	->						int:
				UpperCamelCase_:				Dict						=    []
				UpperCamelCase_, UpperCamelCase_:				Optional[int]						=    0, 1
				while b <= n:
								if b % 2 == 0:
												even_fibs.append(lowerCamelCase    )
								UpperCamelCase_, UpperCamelCase_:				int						=    b, a + b
				return sum(lowerCamelCase    )


if __name__ == "__main__":
							print(F"""{solution() = }""")






